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Topological Dynamics and Continuum Theory

Icon: calendar Dynamics/CT Session Talk #2.3

Subevent of Dynamics/CT Session #2

HUMB 148

2025 Aug 12 from 09:30AM to 09:55AM (Central Time (US & Canada))

Abstract:

The intention of this article is to introduce a generalization of Proinov-type contraction via simulation functions. We name this generalized contraction map as Proinov-type Z-contraction. This article establishes the existence and uniqueness of fixed points for these contraction mappings in quasi-metric space and also, include explanatory examples with graphical interpretation. As an application, we generate a new iterated function system (IFS) consisting of Proinov-type Z-contractions in quasi-metric spaces. At the end of the paper, we prove the existence of a unique attractor for the IFS consisting of Proinov-type Z-contractions.